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• A Posteriori Energy-Norm Error Estimates for Advection-Diffusion Equations Approximated by Weighted Interior Penalty Methods

  Alexandre Ern & Annette F. Stephansen

  2018-08-07

  31530 3415 Pages:488-510

• Local Analysis of the Fully Discrete Local Discontinuous Galerkin Method for the Time-Dependent Singularly Perturbed Problem

  Yao Cheng, Qiang Zhang

  2018-08-22

  38686 2826 Pages:265-288

• Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

  Lingling Zhou, Wenhua Chen, Ruihan Guo

  2026-02-15

  2265 160 Pages:286-306

• Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations

  Yan Xu, Chi-Wang Shu

  2004-04-02

  34264 3783 Pages:250-274

• An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation

  Junming Duan, Huazhong Tang

  2020-02-06

  41168 4321 Pages:58-83

• Dissipative Numerical Methods for the Hunter-Saxton Equation

  Yan Xu & Chi-Wang Shu

  2019-04-10

  36793 3348 Pages:606-620

• A New Approach to Recovery of Discontinuous Galerkin

  Sebastian Franz, Lutz Tobiska & Helena Zarin

  2021-07-01

  35539 3748 Pages:697-712

• Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations

  Hongjuan Zhang, Xiong Meng, Dazhi Zhang, Boying Wu

  2024-11-18

  11506 1207 Pages:63-88

• Positivity-Preserving Local Discontinuous Galerkin Method for Pattern Formation Dynamical Model in Polymerizing Actin Flocks

  Xiuhui Guo, Lulu Tian, Yang Yang, Hui Guo

  2023-04-25

  38741 3196 Pages:623-642

• Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

  Mahboub Baccouch

  2018-08-22

  36217 2811 Pages:511-531

• High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  41159 3011 Pages:135-158

• Analysis of Sharp Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Parabolic Equations

  Yang Yang, Chi-Wang Shu

  2018-08-22

  36884 2785 Pages:323-340

• Error Estimate on a Fully Discrete Local Discontinuous Galerkin Method for Linear Convection-Diffusion Problem

  Haijin Wang & Qiang Zhang

  2018-08-22

  36568 3668 Pages:283-307

• Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems

  Tao Yu & Xingye Yue

  2012-06-02

  34827 3512 Pages:298-310

• A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

  Yifeng Xu, Jianguo Huang & Xuehai Huang

  2021-07-01

  37371 4414 Pages:665-686 Open-access

• Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

  Shukai Du, Samuel N. Stechmann

  2026-02-15

  2387 222 Pages:1-34

• A Space-Time Trefftz DG Method for the Second Order Time-Dependent Maxwell System in Anisotropic Media

  Long Yuan, Xiaoyu Wang, Xiaoqiang Yue

  2026-04-15

  2784 121 Pages:394-426

• Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation

  Jing Sun, Daxin Nie, Weihua Deng

  2024-11-19

  14187 1156 Pages:257-279

• Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

  Ruihan Guo, Yan Xu

  2023-12-01

  31479 2997 Pages:111-133

• A Numerical Study of Uniform Superconvergence of LDG Method for Solving Singularly Perturbed Problems

  Ziqing Xie, Zuozheng Zhang & Zhimin Zhang

  2018-08-07

  33104 3825 Pages:280-298

• Discontinuous Galerkin Methods and Their Adaptivity for the Tempered Fractional (Convection) Diffusion Equations

  Xudong Wang, Weihua Deng

  2021-07-01

  42862 3833 Pages:839-867

• High Order Stable Multi-Domain Hybrid RKDG and WENO-FD Methods

  Fan Zhang, Jian Cheng, Tiegang Liu

  2018-09-17

  39720 2874 Pages:517-541

• Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations

  Gang Chen, Minfu Feng, Xiaoping Xie

  2018-08-22

  36624 2878 Pages:549-572

• A General High-Order Multi-Domain Hybrid DG/WENO-FD Method for Hyperbolic Conservation Laws

  Jian Cheng, Kun Wang, Tiegang Liu

  2018-08-22

  38783 4741 Pages:30-48